Scientists give talks at conferences, local seminars, or workshops. When I started to do my slides using a presentation program instead of the old-fashioned transparencies, I also started to put a few representative ones onto my webpage. Below are some.
This is a colloquium talk in the Colorado School of Mines's Applied Mathematics and Statistics department. It covers the motivation and details for simulating convection in the Earth mantle. As an added bonus, the first ten or so minutes covers an interview by Paul Constantine in which he asked me a number of questions about my work and other things.
A talk that I gave as part of a Webinar series for the Computational Infrastructure in Geodynamics initiative, an NSF funded center dedicated to providing the geophysics community with high-quality computational software. The talk is about what can be achieved by using existing software libraries.
The youtube video above shows the slides and has my voice as audio. (During processing, the audio was lost between minutes 1 and 3 but resumes after that.)
This is a talk I gave while visiting my friend and colleague Moritz Diehl, an expert in optimization theory, in Leuven, Belgium. It is a talk about the many steps one has to go for biomedical imaging, but actually starts explaining the reasons why one would need yet another one of these imaging methods. It goes all the way from introducing a simple model problem to inverting real measurement data with an adaptive finite element program.
A talk given in January 2005 in Pittsburgh. The topic is duality-based error estimates. I give an introduction into why the estimation techniques usually used today are not really satisfactory in practice and how duality-based estimates can mitigate this. I then move on to show how such techniques can be applied to inverse problem, a case where traditional estimation techniques have completely failed because the problems are not only nonlinear but also ill-posed and the stability estimates one usually needs are unknown or inexistant.